Information from <<https://my.strathspey.org/dd/issue/3310/|issue 3310>>:

Jacques Dezais was born before 1680 and died after 1726.

The first mention of his name can be found in the IX. Recueil de Danses pour l’Année 1711 . In this he announces the death of Raoul-Auger Feuillet on “14. juin de cette année (1710)”. He describes himself as “l’un des ses Elèves”, and as heir to Feuillet’s privileges. In doing so, he continued Feuillet’s successful series of annual Receuil de Danses until 1725. As early as 1712 he published a 2e Recueil de nouvelles contredances , in the style of Feuillet’s own publication . Also following Feuillet’s tradition, he worked with a famous choreographer from the Paris Opera for the Receuils de Danses ; However, for the first few years he replaced Feuillet’s colleague Louis-Guillaume Pécour (1653-1729) with the then star Jean Balon (1676-ca. 1729) and expanded most of the collections with his own choreography.

Dezais is also one of the key figures behind the creation of the Cotillon francaise, as he is one of the earliest editors and choreographers of such dances. With the Cotillon des Fêtes de Thalie (Paris 1715) he was the first ever to publish a dance for four couples.

I would assume X. Recueil de Danses pour l’Année 1712 (Paris 1712) as the book Mitchell refers to in Whetherley Book 25 as “Recuell de Contredanses” (1712).